256346112 has 96 divisors (see below), whose sum is σ = 745748640. Its totient is φ = 77660160.

The previous prime is 256346093. The next prime is 256346141. The reversal of 256346112 is 211643652.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 256346112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65688 + ... + 69480.

It is an arithmetic number, because the mean of its divisors is an integer number (7768215).

Almost surely, 2^256346112 is an apocalyptic number.

256346112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372874320).

256346112 is an abundant number, since it is smaller than the sum of its proper divisors (489402528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256346112 is a wasteful number, since it uses less digits than its factorization.

256346112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3809 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 256346112 is about 16010.8123466612. The cubic root of 256346112 is about 635.2464474196.

Adding to 256346112 its reverse (211643652), we get a palindrome (467989764).

The spelling of 256346112 in words is "two hundred fifty-six million, three hundred forty-six thousand, one hundred twelve".